Prove that
`|(a,h,g),(h,b,f),(g,f,c)| = abc + 2fgh - af^(2) - bg^(2) - ch^(2)`.

The matrix [[a,h,g],[h,b,f],[g,f,c]] is

What is [x y z ] [{:(a,h,g),(h,b,f),(g,f,c):}] equal to ?

What is [x" "y" "z][{:(a,h,g),(h,b,f),(g,f,c):}] equal to ?

Evaluate the following: |[a,h,g],[h,b,f],[g,f,c]|

If A,B,C are three matrices such that A=[(x, y, z)], B= [(a, h, g),(h, b, f),(g, f, c)],C=[(x),(y),(z)] Find ABC.

If A=[ x y z],B=[(a,h,g),(h,b,f),(g ,f,c)],C=[alpha beta gamma]^T then ABC is

If g, h, k denotes the side of a pedal triangle, then prove that (g)/(a^(2))+ (h)/(b^(2))+ (k)/(c^(2))=(a^(2)+b^(2) +c^(2))/(2 abc)

STATEMENT - 1 : Let f be a twice differentiable function such that f'(x) = g(x) and f''(x) = - f (x) . If h'(x) = [f(x)]^(2) + [g (x)]^(2) , h(1) = 8 and h (0) =2 Rightarrow h(2) =14 and STATEMENT - 2 : h''(x)=0